Question

factorizar F(x) = (x+1)⁷(x²+1)¹⁰-(x+1)⁵(x²+1)¹¹


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Answer 1

Explicación paso a paso:

Factorizamos:

F(x) = (x + 1)⁷(x² + 1)¹⁰-(x + 1)⁵(x² + 1)¹¹        //Factorizamos  (x + 1)⁵ y (x² + 1)¹⁰

F(x) = (x + 1)⁵(x² + 1)¹⁰[(x + 1)² - (x² + 1)]      //Hallamos en el corchete

F(x) = (x + 1)⁵(x² + 1)¹⁰[x² + 2x + 1 - x² - 1]  //Restamos

F(x) = (x + 1)⁵(x² + 1)¹⁰(2x)                          //Multiplicamos

F(x) = 2x(x + 1)⁵(x² + 1)¹⁰ <-------------- Respuesta

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